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Pawel Pieranski - Personal Pageses
  • Home
  • Curriculum vitae
  • Masters
  • Artists
  • Selected topics
    • Interfacial droplets
    • Rayleigh-Bénard instability in nematics
    • Hydrodynamic instabilities innematics
    • Smectic C*
    • Colloidal crystals
    • Blue Phases
    • Anchoring transitions
    • AFM studies of LC surfaces
    • Smectic films
    • Smectic drums
    • Isospectral drums
    • Lyotropic liquid crystals
    • Cellulosic filaments
    • Captive disclinations
    • Crank texture
    • Dowser texture
  • PhD
    • Brigitte Pansu
    • Mathieu Joanicot
    • Rémi Barbet-Massin
    • Blandine Jérôme
    • Isabelle Kraus
    • Hélène Dumoulin
    • Catherine Even
    • Maria Brazovskaia
    • Larissa Latypova
  • Selected internships
    • M1 UPS 1991
    • L1 UPS 1992
    • L2 UPS 1996
    • L2 UPS 1998
    • M1 UPS 1998
    • L2 UPS 2000
    • M2 LPS 2001
    • L2 LPS 2001
    • IUT 2010-2011
    • L3 ENS 2015
    • L2 UPS 2017
    • M1 ENS 2019
    • M1 UPS 2020
    • TIPE Sainte Geneviève 1
    • TIPE Sainte Geneviève 2
    • M1 ENS 2021
  • Lectures
  • Books
  • List of articles
  • Popularization
  • Wissenschaftskolleg zu Berlin
  • Awards
Pawel Pieranski - Personal Pageses
  • Home
  • Curriculum vitae
  • Masters
  • Artists
  • Selected topics
    • Interfacial droplets
    • Rayleigh-Bénard instability in nematics
    • Hydrodynamic instabilities innematics
    • Smectic C*
    • Colloidal crystals
    • Blue Phases
    • Anchoring transitions
    • AFM studies of LC surfaces
    • Smectic films
    • Smectic drums
    • Isospectral drums
    • Lyotropic liquid crystals
    • Cellulosic filaments
    • Captive disclinations
    • Crank texture
    • Dowser texture
  • PhD
    • Brigitte Pansu
    • Mathieu Joanicot
    • Rémi Barbet-Massin
    • Blandine Jérôme
    • Isabelle Kraus
    • Hélène Dumoulin
    • Catherine Even
    • Maria Brazovskaia
    • Larissa Latypova
  • Selected internships
    • M1 UPS 1991
    • L1 UPS 1992
    • L2 UPS 1996
    • L2 UPS 1998
    • M1 UPS 1998
    • L2 UPS 2000
    • M2 LPS 2001
    • L2 LPS 2001
    • IUT 2010-2011
    • L3 ENS 2015
    • L2 UPS 2017
    • M1 ENS 2019
    • M1 UPS 2020
    • TIPE Sainte Geneviève 1
    • TIPE Sainte Geneviève 2
    • M1 ENS 2021
  • Lectures
  • Books
  • List of articles
  • Popularization
  • Wissenschaftskolleg zu Berlin
  • Awards
  • More
    • Home
    • Curriculum vitae
    • Masters
    • Artists
    • Selected topics
      • Interfacial droplets
      • Rayleigh-Bénard instability in nematics
      • Hydrodynamic instabilities innematics
      • Smectic C*
      • Colloidal crystals
      • Blue Phases
      • Anchoring transitions
      • AFM studies of LC surfaces
      • Smectic films
      • Smectic drums
      • Isospectral drums
      • Lyotropic liquid crystals
      • Cellulosic filaments
      • Captive disclinations
      • Crank texture
      • Dowser texture
    • PhD
      • Brigitte Pansu
      • Mathieu Joanicot
      • Rémi Barbet-Massin
      • Blandine Jérôme
      • Isabelle Kraus
      • Hélène Dumoulin
      • Catherine Even
      • Maria Brazovskaia
      • Larissa Latypova
    • Selected internships
      • M1 UPS 1991
      • L1 UPS 1992
      • L2 UPS 1996
      • L2 UPS 1998
      • M1 UPS 1998
      • L2 UPS 2000
      • M2 LPS 2001
      • L2 LPS 2001
      • IUT 2010-2011
      • L3 ENS 2015
      • L2 UPS 2017
      • M1 ENS 2019
      • M1 UPS 2020
      • TIPE Sainte Geneviève 1
      • TIPE Sainte Geneviève 2
      • M1 ENS 2021
    • Lectures
    • Books
    • List of articles
    • Popularization
    • Wissenschaftskolleg zu Berlin
    • Awards

Smectic drums

Can one hear the shape of a drum ?

Mark Kac

evolution of a film:

its thickness becomes uniform

I. Circular drums

Laurent Belliard and Jean-Philippe Tournellec

Stage L2 UPS 1991



P. Pieranski, L. Beliard, J-Ph Tournellec, X. Leoncini, C. Furtlehner, H. Dumoulin, E. Riou et al.

"Physics of smectic membranes."

Physica A: Statistical Mechanics and its Applications 194, no. 1-4 (1993): 364-389.

Laurent Belliard

today professor at

Sorbonne University

(0,1) mode of a circular drum

Stroboscopic movie

Sound of a circular smectic drum struck in one point

The pitch is so high because the film is vibrating in vacuum

mode (0,2)

mode (1,1)

mode (2,1)

Spectrum of a circular smectic drum: dots= experimental points, vertical lines= frequencies calculated by Rayleigh

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